A Derandomization Using Min-Wise Independent Permutations

  • Andrei Z. Broder
  • Moses Charikar
  • Michael Mitzenmacher
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1518)

Abstract

Min-wise independence is a recently introduced notion of limited independence, similar in spirit to pairwise independence. The later has proven essential for the derandomization of many algorithms. Here we show that approximate min-wise independence allows similar uses, by presenting a derandomization of the RNC algorithm for approximate set cover due to S. Rajagopalan and V. Vazirani. We also discuss how to derandomize their set multi-cover and multi-set multi-cover algorithms in restricted cases. The multi-cover case leads us to discuss the concept of k-minima-wise independence, a natural counterpart to k-wise independence.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Andrei Z. Broder
    • 1
  • Moses Charikar
    • 2
  • Michael Mitzenmacher
    • 1
  1. 1.Compaq SRCPalo AltoUSA
  2. 2.Computer Science Dept.Stanford UniversityUSA

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